A warehouse contains 1,000 machine-made parts. A quality control worker suspects that 5% of those parts are defective. a.) Suppose the worker obtains a random sample of 30 parts (without replacement). If 5% of the parts truly are defective, then what is the probability that at least one part in this sample is defective? b.) How many parts need to be sampled in order to have 95% probability of obtaining at least one defective part?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
icon
Related questions
Topic Video
Question
A warehouse contains 1,000 machine-made parts. A quality control worker suspects that 5% of those parts
are defective.
5% of the parts truly
a.) Suppose the worker obtains a random sample of 30 parts (without replacement).
are defective, then what is the probability that at least one part in this sample is defective?
b.) How many parts need to be sampled in order to have 95% probability of obtaining at least one defective
part?
Transcribed Image Text:A warehouse contains 1,000 machine-made parts. A quality control worker suspects that 5% of those parts are defective. 5% of the parts truly a.) Suppose the worker obtains a random sample of 30 parts (without replacement). are defective, then what is the probability that at least one part in this sample is defective? b.) How many parts need to be sampled in order to have 95% probability of obtaining at least one defective part?
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning